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  "title": "Rectangles versus Isosceles Triangles in Lattice Sets",
  "canonical_statement": "Can a finite set of lattice points determine many rectangles but few isosceles triangles? Both parts of the governing question have negative answers, quantified by explicit blowup rates, and the resulting configurations give obstructions in the Mizohata-Takeuchi circle of problems.",
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      "title": "arXiv:2606.30178 - Rectangles, triangles and Schrodinger waves",
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